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Finding the Fourth Proportional to 206,633.30, 309,621.90 and 136,430.60

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Solution

The fourth proportional to 206,633.30, 309,621.90 and 136,430.60 is: 204,429.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,633.30 : 309,621.90 = 136,430.60 : x
  2. Step 2: Convert to fraction form
    206,633.30/309,621.90 = 136,430.60/x
  3. Step 3: Cross multiply
    206,633.30x = 309,621.90 × 136,430.60
  4. Step 4: Simplify right side
    206,633.30x = 42,241,901,590.14
  5. Step 5: Solve for x
    x = 42,241,901,590.14/206,633.30
  6. Step 6: Final answer
    x = 204,429.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.